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等误差直线逼近齿轮过渡曲线的计算方法
引用本文:任刚,杨秀丽,袁文武. 等误差直线逼近齿轮过渡曲线的计算方法[J]. 机械, 2010, 37(5): 22-24
作者姓名:任刚  杨秀丽  袁文武
作者单位:1. 兰州交通大学,机电工程学院,甘肃,兰州,730070
2. 哈尔滨铁路局,牡丹江电务段,黑龙江,牡丹江,157000
摘    要:为了能用线切割机床精确的加工出齿轮的过渡曲线,在对齿条形刀具加工得出的齿轮轮廓形成过程研究的基础上,提出了利用齿轮的过渡曲线与延伸渐开线互为等距线且具有相同转角的几何关系,通过把过渡曲线的逼近误差转换成延伸渐开线的逼近误差来求过渡曲线的转角值,经过相关计算,可以求出过渡曲线的节点坐标。通过对逼近精度分析,证明了节点满足逼近误差的要求。

关 键 词:直线逼近  延伸渐开线  数控加工  过渡曲线

Calculating method of straight line approaching transition curve of gear with equal errors
REN Gang,YANG Xiu-li,YUAN Wen-wu. Calculating method of straight line approaching transition curve of gear with equal errors[J]. Machinery, 2010, 37(5): 22-24
Authors:REN Gang  YANG Xiu-li  YUAN Wen-wu
Affiliation:1.School of Mechatronics Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China; 2. Mudanjiang Electric Services Segment,Harbin Railway Bureau,Mudanjiang 157000,China)
Abstract:In order to process the transition curve of gear accurately with WEDM,on the basis of the research for the formation of gear profile processed by rack-shaped cutter,the node of the transition curve can be obtained through the relevant calculation,the calculation is realized by geometric relationship of equidistant curve and the same pivot angle between transition curve and prolate involute. Through the analysis of approximation accuracy,proves that approaching segment meet the requirements of approaching error.
Keywords:straight line approaching  prolate involute  NC machining  transition curve
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